Answer: for b: function one has a greater rate of change
Step-by-step explanation: sorry i don't know the first one
Answer:
a) -2 and 4, b) function 2
Step-by-step explanation:
Rate of change is the same thing as slope. For the first function, the table, we can use two of the points and the slope formula. I'll use (-1,3) and (-2,5). Remember the slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Plug the points in:
[tex]m=\frac{5-3}{-2-(-1)}\\m=\frac{2}{-1}\\m=-2[/tex]
(Remember that subtracting a negative = adding. I look at it like the two 'minus' signs form one plus sign, if that helps)
So the slope of function 1 is -2.
We can do the same thing with the second function. Two points that I notice on the graph are (-1,0) and (0,4). Let's use the same slope formula.
[tex]m=\frac{4-0}{0-(-1)}\\m=\frac{4}{1}\\m=4[/tex]
And the slope of function 2 is 4. That answers the first part. The second part asks about rate of change.
Function 2 has a greater rate of change, since 4>-2.
Hope this helps!
a campaign manager for a political candidate releases a series of advertisements
Anyone know how to solve this?
Answer:
ya we have to tell its initial value after 11 years it too simple
Answer:
The value after 11 years would be: 2880 us dollars
Step-by-step explanation:
Given the function
[tex]v\left(t\right)=32,000\left(0.80\right)^t[/tex]
The initial value is basically the first output value when the input value = 0.
Here,
The initial value can be obtained by putting t=0 in the function
[tex]v\left(0\right)=32,\:000\left(0.80\right)^0[/tex]
[tex]\mathrm{Apply\:rule}\:a^0=1,\:a\ne \:0[/tex]
[tex]0.8^0=1[/tex]
Thus,
[tex]v\left(0\right)=32000\cdot \:\:1[/tex]
[tex]=32000[/tex]
Thus, initial value = v(0) = 32000
Value after 11 years can be obtained by putting t=11 in the function
[tex]v\left(11\right)=32,\:000\left(0.80\right)^{11}[/tex]
as
[tex]0.8^{11}=0.09[/tex]
so the expression becomes
[tex]v(11)=32000\cdot \:\:0.09[/tex]
[tex]=2880[/tex] us dollars
Thus, the value after 11 years would be: 2880 us dollars
Please help its 50 points
Reflect on why you think the main character in "The White Umbrella" throws away her hard won prize.
Answer: The reason why the narrator throw the umbrella down the sewer after the car accident is that the umbrella symbolized the rejection of her mother The narrator feel ashamed about her working mother who cannot afford her the standard of living like she's seen in her friends. in the end, she feel ashamed of this and the umbrella remind her of her shameful thought about her mother
Step-by-step explanation:
Answer:
At first, she was upset. She had seen how Eugenie Roberts’s mother acted to her child and how she had treated them, with kindness and utmost interest. She was jealous because her mother had been working all of the time. After her mother came to pick them up, she told her mother she wanted her to quit her job, she didn't want her to work, she wanted to feel like every kid and have her mother there with her to let her know she loved her. And then she had gotten into an accident, in her anger, her mother tilted her head back and closed her eyes, waiting for the yelling people to approach her car. But she thought her mother was dead, she screamed at her mother to open her eyes, before her mother told her to be quiet because people were already going to yell at her and she couldn't take any more yelling. She threw her umbrella in the sewer. Deciding to never be that angry with her mother, for working again.
I hope this helps! :)
will list you brainlest please hurry
Answer:
0- -3 1/4+1 3/4
Step-by-step explanation:
i belive this is the answer, but im not 100% sure sry if im wrong
The first astronaut on mars tossed a rock straight up.the height h measured in feet after tt seconds is given by function h(t)=-6t²+24t+6
After how many seconds will the rock be 30 ft above the surface of Mars?
After how many seconds will the rock be 10 ft above the surfaces of Mars? (Round to nearest hundredth)
Answer:
h'(t)= -12
Step-by-step explanation:
h'(t)=d/dt (-6t x 2 + 24 + 6)
h'(t)=d/dt (-12t + 24 + 6)
h'(t)=d/dt (-12t + 30)
h'(t)=d/dt (-12t) + d/dt (30)
h'(t)= -12+0
a) After 2 seconds the rock will be 30 feet above the surface.
b) After 3.83, 0.17 seconds the rock will be 10 feet above the surface.
a) Given that the height = h(t) =30
Plug it in the equation and find t.
[tex]30=-6t^2+24t+6\\6t^2-24t+24=0\\6(t^2-4t+4)=0\\6(t-2)^2=0\\t=2[/tex]
b) Given that the height = h(t) =10
Plug it in the equation and find t.
[tex]10=-6t^2+24t+6\\6t^2-24t+4=0\\2(3t^2-12t+2)=0\\3t^2-12t+2=0[/tex]
Then use the quadratic formula.
[tex]t=\frac{12 \pm \sqrt{(-12)^2-4(3)(2)} }{2(3)}\\ t=\frac{12 \pm \sqrt{120} }{6}\\\\t=3.83, 0.17[/tex]
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Please answer Quickly! I'LL GIVE 20 POINTS !!!
There are two questions I need help with:
1.) What is the distance between -11 and 3? Writean expression and then solve.
2.) A bird has built a nest on a branch 15 feet from the ground. A groundhog has dug a burrow 2 feet below the ground. What is the distance from the nest to the burrow?
1. There is a distance of 14
2. There is a distance of 17
HELPPP ITS AN EMERGENCY!!!!!!
Answer:
The equation in point-slope is [tex]\mathbf{y+5=3(x-6)}[/tex]
Step-by-step explanation:
We need to write the point-slope form of the equation of the line passing through the point (6,-5) and perpendicular to the line [tex]y=-\frac{1}{3}x+4[/tex]
The general form of point-slope is; [tex]y-y_1=m(x-x_1)[/tex]
where m is slope and [tex](x_1,y_1)[/tex] is the point
We need to calculate slope.
We are given equation of line [tex]y=-\frac{1}{3}x+4[/tex] that is perpendicular to the required line.
The equation is given in slope-intercept form [tex]y=mx+b[/tex] where m is slope.
Comparing both equations we get m= -1/3
But we know that when lines are perpendicular their slopes are opposite reciprocal of each other i.e [tex]m=-\frac{1}{m}[/tex]
So, slope of required line is m = 3 (opposite reciprocal of -1/3)
Now, the equation in point-slope form having slope m=3 and point (6,-5) is
[tex]y-y_1=m(x-x_1)\\y-(-5)=3(x-6)\\y+5=3(x-6)[/tex]
So, The equation in point-slope is [tex]\mathbf{y+5=3(x-6)}[/tex]
can someone please help? i will mark brainliest please explain your answer too, thank you
Answer: B. ZX is parallel to CA
Step-by-step explanation:
B is the correct answer because ZX and CA form parallel lines which shows they are parallel to each other.
I need help with this
Answer:
1: yes
2:no
3:yes
Step-by-step explanation:
that's what i know
Which percent represents the diagram?
8.5%
0.85%
0.085%
85%
The length of a bacterial cell is about 3 x 10−6 m, and the length of an amoeba cell is about 4.5 x 10−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant
digits.
2 x 10^2
2 x 10^3
0.7 x 10^1
6.67 x 10^2
The number of times the bacterial cell is smaller than the amoeba cell is 7 * 10^-1
How many times smaller is the bacterial cell than the amoeba cell?The given parameters are:
Bacteria cell = 3 x 10^-6 m
Amoeba cell = 4.5 x 10^-4 m
The number of times (n) is calculated as
n = Amoeba cell/Bacteria cell
This gives
n = (3 x 10^-6 m)/(4.5 x 10^-4 m)
This gives
n = 0.7 * 10^-2
Rewrite as
n = 7 * 10^-1
Hence, the number of times the bacterial cell is smaller than the amoeba cell is 7 * 10^-1
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what is 14 radical 2 divided by radical 2
Answer: either 14
Step-by-step explanation:
In an AP, the ratio of the 7th term to the 10th term is -1. If the 16th term is -15, what is the 3rd term?
Answer:
The 3rd term is 11
Step-by-step explanation:
The given parameters for the Arithmetic Progression, AP, are;
The ratio of the 7th term to the 10th term = (a + 6·d)/(a + 9·d) = -1
The 16th term = -15 = a + 15·d
The 3rd term= a + 2·d
From the 7th to the 10th term ratio, we have;
a + 6·d = -a - 9·d
2·a = -15·d
-2·a = 15·d...(1)
From the 16th term of the AP, we have;
-15 = a + 15·d = a + -2·a = -a
a = 15
From equation (1), -2·a = 15·d, we have;
-2·a = -2 × 15 = 15·d
15·d = -2 × 15
d = -2 × 15/15 = -2
d = -2
The 3rd term = a + 2·d = 15 + 2 × -2 = 11
∴ The 3rd term = 11
two standard $6$-sided dice are rolled. what is the probability that the sum rolled is a perfect square?
Two standards $6$-sided dice are rolled. The probability that the sum rolled is a perfect square 7/36.
What is probability?Likelihood is the part of math concerning mathematical portrayals of how likely an occasion is to happen, or how likely it is that a suggestion is valid. Likelihood is the part of science concerning mathematical depictions of how likely an occasion is to happen, or how likely it is that a recommendation is valid. Likelihood and measurements, the parts of science worried about the regulations administering arbitrary occasions, including the assortment, investigation, understanding, and show of mathematical information. While calculation and variable based math were concentrated on by old Greek mathematicians over long time back, the ideas of likelihood just arose in the seventeenth and eighteenth 100 years.
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solve this please.
Answer:
94
Step-by-step explanation:
Answer:
T<5,-2>
Step-by-step explanation:
It goes to the the right 5 and down 2 but it is put in a proper format
.A gym charges an enrollment fee of $85 plus $25 per month, where x
is the number of months and y is the total amount of money spent in
dollars. Which equation matches this situation
Answer:
85+25x=y
Step-by-step explanation:
if you plug in the number of months for x, and multiply that number by 25, you will get the total amount.
f(x)=3x-9; horizontal stretch factor of 6
The Horizontal stretch of the function f(x)=3x-9 by a factor of 6 is g(x)=x/2-9 .
The graph of the function y=f(x/a) represents a Horizontal Stretch by a factor of a of the graph y=f(x) , where a>0 and a≠1 .
To find the horizontal stretch we divide the input by a ,
In the given question
f(x)=3x-9 , is horizontally stretch by a factor of 6.
So we divide the inputs by 6 .
On dividing the inputs by 6 , we get
f(x/6)=3(x*1/6)-9 (...as 3/6=1/2)
Let g(x) represents the horizontal stretch of f(x) by factor 6 , So
g(x)=x/2-9
Therefore , the Horizontal stretch of the function f(x)=3x-9 by a factor of 6 is g(x)=x/2-9 .
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A statewide poll for an upcoming gubernatorial election concluded that 52.8% of the voters will vote for candidate A and 47.1% will vote for candidate B. The margin of error is ±2.5%. The confidence level for this result is 95%. Explain the confidence interval.
Step-by-step explanation:
a) For a 95% confidence interval we use the formula
First we need to establish the sample proportion
The sample size is
n = 200
and the critical value of z for a 95% confidence interval is
z* = 1.960
This gives us
This gives us an upper confidence limit of
.525 + .069 = .594 or 59.4%
and a lower confidence limit of
.525 - .069 = .456 or 45.6%
b) At this point her supporters wonder what her chances of winning are. 45.6% is below 50%, so she might lose. To find her chances of losing, consider the bell shaped curve
top
Her probability of winning is the area to the right of 50%. We need to turn the 50% into a z score
= -.708
We look up a z-score of -.71 in Table A and get an area of .2389. This is the probability that she will lose. the probability that she will win is
.7611
c) The candidate's supporters would like to be more sure that she will win. They decide to increase the sample size until the 95% confidence interval is only plus or minus 3%. They want to know how large of a sample they will need to get that kind of accuracy. We use the formula for the margin of error.
top
To solve for n, first square both sides to get rid of the radical.
Multiply both sides by n and divide both sides by m2.
For a 95% confidence interval z* = 1.96. We put in our other numbers
= 1064.4433
so they would have to survey 1065 people in order to get a 95% confidence interval that would only stretch up and down 3%.
top
In the figure shown, what is the measure of angle x?
O1) 100 degrees
O 2) 110 degrees
O3) 120 degrees
O4) 140 degrees
Answer:
C.) 120 or Option C is incorrect.
The answer is B.) 110
Step-by-step explanation:
See screenshot below
Hope this helps!
- ❤ 7272033Alt ❤
Carrie has a stamp collection she is very proud of. She buys a frame to display her favorite stamps. The frame is 6 inches wide, and a row of 7 stamps fits perfectly across it.
How wide is each stamp?
An airplane flying at an altitude of 14,382 feet ascends another
9,372 feet. A little while later, it descends 10,345 feet.
What is the altitude of the airplane after it descends?
The altitude of the airplane after it descends is 13,409 feet.
What is altitude?The meaning of ALTITUDE is the vertical elevation of an object above a surface (such as sea level or land) of a planet or natural satellite.
Now it is given that,
Initial Altitude of airplane = 14,382 feet
Then plane ascends = 9,372 feet
So, Altitude of airplane = 14,382 feet + 9,372 feet = 23,754 feet
Again airplane descends = 10,345 feet
So, Altitude of airplane = 23,754 feet - 10,345 feet
⇒ Altitude of airplane = 13,409 feet
Thus, the altitude of the airplane after it descends is 13,409 feet.
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I'm stuck on 2 choices? Can I have help?
Answer:
it has to be whole numbers
Step-by-step explanation:
because all of them are whole number no matter if there negative or positive
can anyone help? I’ll give brainlest ❤️
Answer:
C
Step-by-step explanation:
I inserted 5 for a and c is the correct answer
A total of 250 people were surveyed about whether or not each person carries a cell phone.
Total
Carries
Cell
Phone
0.42
Does Not
Carry Cell
Phone
0.16
Female
0.58
Male
0.12
0.42
0.30
0.72
Total
0.28
1.00
Which statement is correct?
A local fabric store advertises three and one-half yards of fabric for $4.50. If their everyday price per year is $1.15, is it less expensive to buy the fabric while it is on sale?
Answer:
one spool of thread costs $1.89
Step-by-step explanation:
$8.99x3=$26.97
$32.64-$26.97=$5.76
$5.76 divided by 3=$1.89
Is 5 in the solution of x+3>8?
Answer: D) No; If x is 5, the expression on the left simplifies to 8, making the inequality false.
In other words, if x = 5, then x+3 becomes 5+3 which ultimately becomes 8, but this is not greater than 8 on the right side.
Your steps could look like this
x+3 > 8
5+3 > 8 ... replace x with 5
8 > 8 ... this is a false inequality
Which equation describes the line with a slope of 5 and a y-intercept of 4.
Answer:
The line should look like: y=5x+4
Step-by-step explanation:
The equation for slope-intercept form is y=mx+b, where m is your slope and b is your y-intercept.
Therefore, if we plug in the given values, our equation should look like the following:
y=5x+4
Answer:
y=5x+4
y=mx+b
angle 4=x+30 and angle 2=2x+15. Find the measure of angle 4
9514 1404 393
Answer:
∠4 = 45°
Step-by-step explanation:
Angles 1, 2, and 4 are all congruent.
∠4 = ∠2
x +30 = 2x +15
15 = x . . . . . . . . . . . . . subtract x+15
x + 30 = 45 = ∠4
Which fraction is the largest?
Answer:
17/30
Step-by-step explanation:
All edges of a cube are expanding at a rate of 2 centimeters per second.
(a) How fast is the volume changing when each edge is 2 centimeter(s)?
(b) How fast is the volume changing when each edge is 14 centimeter(s)?
Answer:
Part a → dv/dt = 24 cm³/per secondPart b → dv/dt = 1176 cm³/per secondStep-by-step explanation:
As all edges of a cube are expanding at a rate of 2 centimeters per second.
i.e ds/dt = 2 cm/s
The formula of volume of cube: V = s³
Differentiating the volume:
dv/dt = 3s²
Write ds/dt following derivative of volume
dv/dt = 3s² ds/dt
plug in the value: ds/dt = 2 cm/s
dv/dt = (3s²) (2)
dv/dt = 6s²
Given the edge is 2cm.
so plug in the value: s=2
dv/dt = 6s²
= 6(2)²=6(4)=24 cm³/per second
SIMILARLY,
When the edge is 14cm
dv/dt = 6s²
plug in the value: s=14
dv/dt = 6s²
= 6(14)²=6(196)=1176 cm³/per second
Thus,
Part a → dv/dt = 24 cm³/per secondPart b → dv/dt = 1176 cm³/per secondThe volume will be:
(a) 24 cm³
(b) 1176 cm³
Given:
Expanding rate,
2 cm/secLet,
The edge of a cube be "x cm".(a)
When,
x = 2 cmthen,
→ [tex]\frac{dx}{dt} = 2 \ cm/sec[/tex]
Let,
The volume of cube be "V"→ [tex]V = x^3[/tex]
→ [tex]\frac{dV}{dt} = 3x^2 \frac{dx}{dt}[/tex]
[tex]= 3\times 2^2\times 2[/tex]
[tex]= 3\times 4\times 2[/tex]
[tex]= 24 \ cm^3[/tex]
(b)
When,
x = 14 cmthen,
→ [tex]\frac{dx}{dt} = 2 \ cm/sec[/tex]
Let,
The volume of cube be "V"→ [tex]V = x^3[/tex]
→ [tex]\frac{dV}{dt} = 3x^2 \frac{dx}{dt}[/tex]
[tex]=3\times 14^2\times 2[/tex]
[tex]= 1176 \ cm^3[/tex]
Thus the above answer is correct.
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